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university of Provence - Aix-Marseille I |  |
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university of Provence - Aix-Marseille I | |
| HAL: hal-00421875, version 1 |
| arXiv: 0712.4143 |
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| General Relativity and Gravitation 41 (2009) 2597-2618 |
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| Cosmological Plebanski theory |
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| Karim NouiAlejandro Perez 1 |
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| (2009) |
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| We consider the cosmological symmetry reduction of the Plebanski action as a toy-model to explore, in this simple framework, some issues related to loop quantum gravity and spin-foam models. We make the classical analysis of the model and perform both path integral and canonical quantizations. As for the full theory, the reduced model admits two types of classical solutions: topological and gravitational ones. The quantization mixes these two solutions, which prevents the model to be equivalent to standard quantum cosmology. Furthermore, the topological solution dominates at the classical limit. We also study the effect of an Immirzi parameter in the model. |
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| 1: | Centre de Physique Théorique (CPT) |
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CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var |
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| Subject | : | Physics/General Relativity and Quantum Cosmology |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/0712.4143 |
| hal-00421875, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00421875 | |
| oai:hal.archives-ouvertes.fr:hal-00421875 | |
| From: Elizabeth Bernardo | |
| Submitted on: Monday, 5 October 2009 09:46:53 | |
| Updated on: Monday, 5 October 2009 09:46:53 | |
